solutions to the stationary Boltzmann equation in a slab
Leif Arkeryd, Anne Nouri (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “The stationary Boltzmann equation in with given indata”
solutions to the stationary Boltzmann equation in a slab
Stationary states of a gas in a radiation field from a kinetic point of view
Anne Nouri (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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On the interior boundary-value problem for the stationary Povzner equation with hard and soft interactions
Vladislav A. Panferov (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The Povzner equation is a version of the nonlinear Boltzmann equation, in which the collision operator is mollified in the space variable. The existence of stationary solutions in is established for a class of stationary boundary-value problems in bounded domains with smooth boundaries, without convexity assumptions. The results are obtained for a general type of collision kernels with angular cutoff. Boundary conditions of the diffuse reflection type, as well as the given incoming...
Recent results on the Boltzmann equation
Carlo Cercignani (1996)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In the last few years the theory of the nonlinear Boltzmann equation has witnessed a veritable turrent of contributions, spurred by the basic result of DiPerna and Lions. Here we wish to survey these results with particular attention to some recent developments.
On a critical threshold for nonlinear diffusion equations.
M. Chipot, R. Kersner (1991)
Revista Matemática de la Universidad Complutense de Madrid
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We study some aspects of the asymptotic behavior of the solutions to a class of nonlinear parabolic equations.
On stationary kinetic systems of Boltzmann type and their fluid limits
Leif Arkeryd (2004)
Banach Center Publications
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The first part reviews some recent ideas and L¹-existence results for non-linear stationary equations of Boltzmann type in a bounded domain in ℝⁿ and far from global Maxwellian equilibrium. That is an area not covered by the DiPerna and P. L. Lions methods for the time-dependent Boltzmann equation from the late 1980-ies. The final part discusses the more classical perturbative case close to global equilibrium and corresponding small mean free path limits of fully non-linear stationary...